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Homework Help: How to simplify this equation?

  1. Dec 6, 2012 #1
    1. The problem statement, all variables and given/known data

    [tex]\frac { x+100 }{ 1+\frac { 100x }{ { 100 }^{ 2 } } }[/tex]

    2. Relevant equations



    3. The attempt at a solution

    Wolfram Alpha somehow managed to simplify the equation to just simply 100. Here's my attempt:

    [tex]\frac { x+100 }{ 1+\frac { 100x }{ { 100 }^{ 2 } } } \\ =\frac { x+100 }{ 1+\frac { 100x }{ { 100 }^{ 2 } } } *\frac { 100 }{ 100 } \\ =\frac { 100x+{ 100 }^{ 2 } }{ 100+x }[/tex]
     
  2. jcsd
  3. Dec 6, 2012 #2
    Can you factorize the numerator?? Can you write it as 100+x times some number?
     
  4. Dec 6, 2012 #3
    Like this?

    [tex]\frac { x(1+\frac { 100 }{ x } ) }{ 1+\frac { x }{ { 100 } } }[/tex]

    Edit: Never mind. Got it.

    [tex]\frac { x+100 }{ 1+\frac { x }{ { 100 } } } \\ =\frac { x+100 }{ 1+\frac { x }{ { 100 } } } *\frac { 100 }{ 100 } \\ =\frac { 100(x+{ 100 }) }{ 100+x } \\ =100[/tex]
     
    Last edited: Dec 6, 2012
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